A 2D Controller Design Method for Interval Time Delay in Injection Molding Process
A design method and controller technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve problems such as poor anti-interference ability, influence on system control performance, difficulty in obtaining simplified/approximate models, etc.
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Embodiment 1
[0061] This embodiment describes the specific process of converting the constructed state space model into a 2D error augmented model by using the design method of the 2D-FM model.
[0062] The concrete process that the present invention converts the state-space model of construction into 2D error augmentation model is as follows:
[0063] First, according to the repetitive characteristics of the injection molding process, the iterative learning control law is designed as:
[0064] ∑ ilc u (t,k)=u(t,k-1)+r(t,k)(u(t,0)=0,t=0,1,2,...,T)...(1):
[0065] Then, define the current batch output error as:
[0066] e(t,k)=y(t,k)-y d (t) ... (2)
[0067] And define the batch direction error as:
[0068] x Δ (t,k)=x(t,k)-x(t,k-1)...(3)
[0069] According to formulas (1), (2) and (3), it can be obtained:
[0070]
[0071]
[0072] in,
[0073] ω(t,k)=(Δ a (t,k)-Δ a (t,k-1))x(t,k-1)+(Δ d (t,k)-Δ d (t, k-1))x(t-d(t), k-1)+(Δ b (t,k)-Δ b (t, k-1))u(t, k-1).
[0074] Co...
Embodiment 2
[0077] This embodiment describes the specific process of solving a given stability criterion (that is, solving the gain K of the controller in the form of linear matrix inequality).
[0078] The specific method is as follows:
[0079] First minimize γ, and let L i >0, Q - 1 > 0 , W - 1 > 0 , W ~ 1 > 0 , x 1 >01, R ~ 1 L ~ 1 L ~ 1 X ~ ...
Embodiment 3
[0082] This embodiment is an embodiment of the present invention applied to injection speed control.
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